Linear Equations and Function Transformations

Vocabulary flashcards covering linear equation forms, function transformations (A-value and K-value), and properties of perpendicular lines based on the lecture notes.

General Form / Slope Intercept

$$f(x) = mx + b$$

Factor Form

$$f(x) = m(x + b)$$

Point Slope Form

$$y - y_1 = m(x - x_1)$$

Root

The x-intercept, but with the sign changed.

K-value

Represents a vertical shift.

$$+K$$

Indicates a vertical shift up.

$$-K$$

Indicates a vertical shift down.

A-value

Represents a dilation.

$$|A| < 1$$

Indicates a vertical compression.

$$|A| > 1$$

Indicates a vertical stretch.

$$-A$$

Indicates a reflection.

Perpendicular Lines

Two lines that intersect and create a $90$ degree angle, where the slopes of the two lines have opposite signs and the number is flipped.